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Amnon Jakimovski
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دانلود کتاب Walsh Equiconvergence of Complex Interpolating Polynomials
by Amnon Jakimovski|
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عنوان فارسی: والش Equiconvergence از چند جمله ای آن interpolating مجتمع |
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جزییات کتاب
This book is a collection of the various old and new results, centered around the following simple and beautiful observation of J.L. Walsh - If a function is analytic in a finite disc, and not in a larger disc, then the difference between the Lagrange interpolant of the function, at the roots of unity, and the partial sums of the Taylor series, about the origin, tends to zero in a larger disc than the radius of convergence of the Taylor series, while each of these operators converges only in the original disc.This book will be particularly useful for researchers in approximation and interpolation theory.
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